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Finding the Fourth Proportional to 3,753.32, 5,630.67 and 1,288.39

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Solution

The fourth proportional to 3,753.32, 5,630.67 and 1,288.39 is: 1,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.32 : 5,630.67 = 1,288.39 : x
  2. Step 2: Convert to fraction form
    3,753.32/5,630.67 = 1,288.39/x
  3. Step 3: Cross multiply
    3,753.32x = 5,630.67 × 1,288.39
  4. Step 4: Simplify right side
    3,753.32x = 7,254,498.92
  5. Step 5: Solve for x
    x = 7,254,498.92/3,753.32
  6. Step 6: Final answer
    x = 1,932.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.